Inquisitive Semantics: Two Possibilities for Disjunction
Jeroen Groenendijk

Abstract:
In this paper I introduce an inquisitive semantics for a language of
propositional logic, where the interpretation of disjunction is the
source of inquisitiveness. Indicative conditionals and conditional
questions are treated on a par both syntactically and
semantically. The semantics comes with a new logical-pragmatical
notion which judges and compares the compliance of responses to an
initiative in inquisitive dialogue.